Define T: P3 → P3 by T(p) = p(0) - p(1)t - p(1)t2 + p(0)t³. Find 7(p), where p = 1+t+t² + t³ and state if p is an eigenvector of T. OT(p)=1-t-t² +³ and p is an eigenvector of T OT(p)=4-t-t² + 4t³ and p is an eigenvector of T OT(p)=4-t-t² + 4t and p is not an eigenvector of T OT(p)=1-t-f + and p is not an eigenvector of T OT(p)=1-4t-4t² +³ and p is an eigenvector of T. OT(p)=1-4t-4f²+ and p is not an eigenvector of T
Define T: P3 → P3 by T(p) = p(0) - p(1)t - p(1)t2 + p(0)t³. Find 7(p), where p = 1+t+t² + t³ and state if p is an eigenvector of T. OT(p)=1-t-t² +³ and p is an eigenvector of T OT(p)=4-t-t² + 4t³ and p is an eigenvector of T OT(p)=4-t-t² + 4t and p is not an eigenvector of T OT(p)=1-t-f + and p is not an eigenvector of T OT(p)=1-4t-4t² +³ and p is an eigenvector of T. OT(p)=1-4t-4f²+ and p is not an eigenvector of T
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Define T: P3 → P3 by T(p) = p(0) - p(1)t - p(1)t2 + p(0)t³3. Find 7(p), where p = 1+t+t² + t³ and state if
p is an eigenvector of T
OT(p)=1-t-t² +³ and p is an eigenvector of T
OT(p)=4-t-t²
+4+³ and p is an eigenvector of T .
OT(p)=4-t-t²
+4t³ and p is not an eigenvector of T
OT(p)=1-t- + and p is not an eigenvector of T
OT(p)=1-4t-4t² +t³ and p is an eigenvector of T.
OT(p)=1-4t-4t²+
and p is not an eigenvector of T
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